What number goes in the cell in row y, below 4?

10

Step-by-step explanation:

Don't just think: 6,7,8,9, oh it must be 10.

When x is 0, y is 6. That means no matter what 6 is added to x. So if we look at when x is 2, y = 8. Lets subtract the 6 from the 8 and we get 2. So the x is not multiplied by anything.

The equation is y = x+6.

4+6=10

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: